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Finding the Third Proportional to 363,583.50 and 781,138.50

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Solution

The third proportional to 363,583.50 and 781,138.50 is: 1,678,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,583.50 : 781,138.50 = 781,138.50 : x
  2. Step 2: Convert to fraction form
    363,583.50/781,138.50 = 781,138.50/x
  3. Step 3: Cross multiply
    363,583.50x = 781,138.50 × 781,138.50
  4. Step 4: Simplify right side
    363,583.50x = 610,177,356,182.25
  5. Step 5: Solve for x
    x = 610,177,356,182.25/363,583.50
  6. Step 6: Final answer
    x = 1,678,231.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.